Question

class 12 ncert exercise no. 6.5 example no . 15

Answer 1

Hey mate here is your answer

. Find the maximum and minimum values, if any, of the following functions given by:
(i)     
(ii)  
(iii)     
(iv)  
Ans. (i) Given:  
Since  for all  R
Adding 3 both sides,     
Therefore, the minimum value of  is 3 when , i.e., 
This function does not have a maximum value.
(ii) Given:  
 
 
= 
        ……….(i)
Since  for all  R
Subtracting 2 from both sides, 
 
Therefore, minimum value of  is  and is obtained when , i.e., 
And this function does not have a maximum value.
(iii) Given:    ……….(i)
Since  for all  R
Multiplying both sides by  and adding 10 both sides,

     [Using eq. (i)]
Therefore, maximum value of  is 10 which is obtained when  i.e., 
And therefore, minimum value of  does not exist.
(iv) Given:  
As    
As    
Therefore, maximum value and minimum value of  do not exist.

please give me as brainlist